A Proof That Finite Groups With A Fixed Point Free Automorphism Of Prime Order Are Nilpotent
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The Theory of Finite Groups
Author | : Hans Kurzweil |
Publisher | : Springer Science & Business Media |
Total Pages | : 390 |
Release | : 2006-03-04 |
Genre | : Mathematics |
ISBN | : 0387217681 |
From reviews of the German edition: "This is an exciting text and a refreshing contribution to an area in which challenges continue to flourish and to captivate the viewer. Even though representation theory and constructions of simple groups have been omitted, the text serves as a springboard for deeper study in many directions." Mathematical Reviews
Finite and Locally Finite Groups
Author | : B. Hartley |
Publisher | : Springer Science & Business Media |
Total Pages | : 469 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9401103291 |
This volume contains the proceedings of the NATO Advanced Study Institute on Finite and Locally Finite Groups held in Istanbul, Turkey, 14-27 August 1994, at which there were about 90 participants from some 16 different countries. The ASI received generous financial support from the Scientific Affairs Division of NATO. INTRODUCTION A locally finite group is a group in which every finite set of elements is contained in a finite subgroup. The study of locally finite groups began with Schur's result that a periodic linear group is, in fact, locally finite. The simple locally finite groups are of particular interest. In view of the classification of the finite simple groups and advances in representation theory, it is natural to pursue classification theorems for simple locally finite groups. This was one of the central themes of the Istanbul conference and significant progress is reported herein. The theory of simple locally finite groups intersects many areas of group theory and representation theory, so this served as a focus for several articles in the volume. Every simple locally finite group has what is known as a Kegel cover. This is a collection of pairs {(G , Ni) liE I}, where I is an index set, each group Gi is finite, i Ni
Finite Groups
Author | : Daniel Gorenstein |
Publisher | : American Mathematical Soc. |
Total Pages | : 546 |
Release | : 2007 |
Genre | : Mathematics |
ISBN | : 0821843427 |
"The Classification Theorem is one of the main achievements of 20th century mathematics, but its proof has not yet been completely extricated from the journal literature in which it first appeared. This is the second volume in a series devoted to the presentation of a reorganized and simplified proof of the classification of the finite simple groups. The authors present (with either proof or reference to a proof) those theorems of abstract finite group theory, which are fundamental to the analysis in later volumes in the series. This volume provides a relatively concise and readable access to the key ideas and theorems underlying the study of finite simple groups and their important subgroups. The sections on semisimple subgroups and subgroups of parabolic type give detailed treatments of these important subgroups, including some results not available until now or available only in journal literature. The signalizer section provides an extensive development of both the Bender Method and the Signalizer Functor Method, which play a central role in the proof of the Classification Theorem. This book would be a valuable companion text for a graduate group theory course."--Publisher's website
Groups St Andrews 2009 in Bath: Volume 2
Author | : C. M. Campbell |
Publisher | : Cambridge University Press |
Total Pages | : 305 |
Release | : 2011-06-16 |
Genre | : Mathematics |
ISBN | : 1139498282 |
This second volume of a two-volume book contains selected papers from the international conference Groups St Andrews 2009. Leading researchers in their respective areas, including Eammon O'Brien, Mark Sapir and Dan Segal, survey the latest developments in algebra.
P-Automorphisms of Finite P-Groups
Author | : Evgenii I. Khukhro |
Publisher | : Cambridge University Press |
Total Pages | : 226 |
Release | : 1998-02-13 |
Genre | : Mathematics |
ISBN | : 052159717X |
Ideal for graduate students and researchers working in group theory and Lie rings.
The Santa Cruz Conference on Finite Groups
Author | : Bruce Cooperstein |
Publisher | : American Mathematical Soc. |
Total Pages | : 654 |
Release | : 1980 |
Genre | : Mathematics |
ISBN | : 0821814400 |
Nilpotent Groups and their Automorphisms
Author | : Evgenii I. Khukhro |
Publisher | : Walter de Gruyter |
Total Pages | : 269 |
Release | : 2011-04-20 |
Genre | : Mathematics |
ISBN | : 3110846217 |
The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board Lev Birbrair, Universidade Federal do CearĂ¡, Fortaleza, Brasil Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany
Proceedings of the National Academy of Sciences of the United States of America
Author | : National Academy of Sciences (U.S.) |
Publisher | : |
Total Pages | : 952 |
Release | : 1959 |
Genre | : Electronic journals |
ISBN | : |